What is the answer to 2x-3/(x+2)=x ?

The answer to 2x-3/(x+2)=x is x=1,x=-3

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2x-3/(x+2)=x

2 x - \frac{3}{x + 2} = x

x = 1, x = - 3

Solution steps

2 x - \frac{3}{x + 2} = x

Multiply both sides by

x + 2

2 x (x + 2) - 3 = x (x + 2)

Solve

2 x (x + 2) - 3 = x (x + 2) : x = 1, x = - 3

x = 1, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = 1, x = - 3

3 x^{- 2} - 19 x^{- 1} + 20 = 0

4 = x + \frac{1}{x}

\frac{3 x - 6}{4 x + 3} = \frac{3}{5}

\frac{1}{4 ( x + 2 ) ^{2} - 2} = 3

\frac{1}{1.5} = \frac{3.281}{x}